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The number of hours when the two stocks would be the same is 1.68 hours.

The first step is to determine the price of stock A at noon.

Price of stock A at noon = price at 9am + (rate of increase per hour x time difference)

Time difference = 12 - 9am = 3 hours

= $13.92 + (0.11 x 3)

= $13.92 + 0.33

= $14.25

Value of stock A t hours after noon = $14.25 + (0.11 x t)

= $14.25 + 0.11t

The equation that can be used to determine the price of stock B at time t is:

Price of stock B at time t = beginning price - (rate of decline x time)

= $14.67 - (0.14 x t)

= $14.67 - 0.14t

When the two stocks are the same, the two equations would be equal to each other:

$14.25 + 0.11t = $14.67 - 0.14t

solve for t:

0.11t + 0.14t = $14.67 - $14.25

0.25t = 0.42

t = 0.42 / 0.25

t = 1.68 hours

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The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

It is used to find the length of one of the sides of a right-angled triangle when the lengths of the other two sides are known. It is also used to determine if a triangle is a right-angled triangle or not, by checking if the lengths of the sides satisfy the theorem.

The Pythagorean Theorem has many practical applications, such as in construction, engineering, and physics. For example, it can be used to calculate the distance between two points in a two-dimensional plane, the height of a building or tower, or the force required to move an object up a ramp at a given angle.

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Answer:

The sum of the interior angles of a 10-sided polygon is 1,440 degrees.

To find the sum of the interior angles of any polygon, you can use the formula:

sum of interior angles = (n - 2) x 180 degrees

where n is the number of sides of the polygon.

So, for a 10-sided polygon, we have:

sum of interior angles = (10 - 2) x 180 degrees

sum of interior angles = 8 x 180 degrees

sum of interior angles = 1,440 degrees

Therefore, the sum of the interior angles of the 10-sided polygon on the left is 1,440 degrees.

Answer:

1440 degrees

Step-by-step explanation:

Credit to the the first person who answered. :)

Answer:

y = 1

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a

then

y = | 3 - x | ← substitute x = 4

y = | 3 - 4 | = | - 1 | = | 1 | = 1

The symmetric property of congruence is Option C) If AB ≅ CD, then CD ≅ AB.

The symmetric property of congruence states that if one segment is congruent to another segment, then the second segment is also congruent to the first.

Therefore, the correct answer is C) If AB ≅ CD , then CD ≅ AB.

This statement shows that if segment AB is congruent to segment CD, then segment CD is also congruent to segment AB, which satisfies the definition of the symmetric property of congruence.

Answer choices A) and D) do not represent the symmetric property of congruence, as they simply state that a segment is congruent to itself or to another segment without reversing the order of the comparison.

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Assuming that a fair coin was tossed twice, the probability that exactly one of the tosses is a head and the other toss is a tail is 1/2.

The probability of a certain event happening is the number of ways that event can occur, divided by the total number of possible outcomes. In this case, we are interested in finding the probability that exactly one of the two coin tosses results in a head and the other results in a tail.

There are two possible outcomes that satisfy this condition: HT and TH. Since the coin is fair, each of these outcomes has a probability of 1/4. Therefore, the total probability of getting exactly one head and one tail is:

P(HT or TH) = P(HT) + P(TH) = 1/4 + 1/4 = 1/2

In other words, there is a 50-50 chance of getting exactly one head and one tail when a fair coin is tossed twice.

To see why this is the case, we can think of each toss as an independent event with two possible outcomes (head or tail). There are four possible outcomes when we toss a coin twice, and two of these outcomes satisfy the condition of exactly one head and one tail. Therefore, the probability of getting exactly one head and one tail is 2/4, which simplifies to 1/2.

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When the planes are at the same altitude after 48 seconds, they will be at an altitude of 4014 feet.

Let's assume that after t seconds, Plan A will be at an altitude of A and Plan B will be at an altitude of B. We want to find the value of t when A = B.

We can use the following equations to model the altitude of each plane after t seconds:

A = 2172 + 35.25t

B = 80.5t

We can set A equal to B and solve for t:

2172 + 35.25t = 80.5t

Subtracting 35.25t from both sides, we get:

2172 = 45.25t

Dividing both sides by 45.25, we get:

t = 48 seconds (rounded to the nearest second)

Therefore, the planes will be at the same altitude after 48 seconds.

To find the altitude they will be at, we can substitute t = 48 into either of the altitude equations. Let's use the equation for Plan A:

A = 2172 + 35.25t

A = 2172 + 35.25(48)

A = 4014 feet

Correct Question :

An air traffic controller is tracking two planes. To start, Plan A is at an altitude of 2172 feet and Plan B is just taking off. Plan A is gaining altitude at 35.25 feet per second and Plan B is gainnig altitude at 80.5 feet per second.

How many seconds will pass before the planes are at the same altitude?

What will their altitude be when they're at the same altitude?

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Answer: We can use basic trigonometry to solve both of these problems:

Angle of depression from the top of the tree to the lake:

Let's draw a diagram of the situation:

       A (top of tree)

       |\

       | \

    30 |  \ 15 ft

       |   \

       |    \

       |     \

       |      \

       |       \

       |        \

       |         \

       |          \

       |__________\

              B (lake)

In this diagram, A represents the top of the tree, B represents the lake, and the lines connecting them form a right triangle. We want to find the angle of depression, which is the angle between the horizontal line (from the top of the tree to the lake) and the line of sight from the top of the tree to the lake. This is angle θ in the diagram.

We know that the opposite side of this right triangle is 30 feet (the horizontal distance from the top of the tree to the lake) and the adjacent side is 15 feet (the height of the tree). Therefore:

Taking the arctangent of both sides gives us:

Therefore, the angle of depression from the top of the tree to the lake is approximately 63.4 degrees.

Angle of elevation from the boat to the top of the tree:

Let's draw a diagram of the situation:

   C (person on boat)

    |\

    | \

35  |  \

    |   \

    |    \

    |     \

    |      \

    |       \

    |        \

    |         \

    |          \

    |__________\

          A (top of tree)

In this diagram, C represents the person on the boat, A represents the top of the tree, and the lines connecting them form a right triangle. We want to find the angle of elevation, which is the angle between the horizontal line (from the person on the boat to the shore) and the line of sight from the person on the boat to the top of the tree. This is also angle θ in the diagram.

We know that the opposite side of this right triangle is 15 feet (the height of the tree) and the adjacent side is 35 feet (the horizontal distance from the person on the boat to the tree). Therefore:

Taking the arctangent of both sides gives us:

Therefore, the angle of elevation from the boat to the top of the tree is approximately 23.1 degrees.

Answer:

Step-by-step explanation:

-11°

The fraction model we are given can be represented by the expression: 7/1 ÷ 1/2

From the fraction model given, we can see that each of the shaded parts represents a half of the model parts.

Thus, we have in total:

(1/2) * 7 = 3¹/₂

This means the 7 parts shaded is being divided by 1/2

Therefore, we can easily conclude that the equation to represent a fraction model is expressed by the algebra form:

7/1 ÷ 1/2

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Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

Answer:

To the nearest mile, Tony and Jim are 9 miles apart.

To visualize this, imagine a right triangle where Jim's starting point is at the right angle. Tony travels 5 miles due south, which is the adjacent side of the triangle. Jim travels 6 miles north east, which is the hypotenuse of the triangle. The opposite side of the triangle is the distance between Tony and Jim.

Using the Pythagorean theorem, we can find the length of the opposite side:

opposite side = sqrt(hypotenuse^2 - adjacent side^2)

opposite side = sqrt(6^2 - 5^2)

opposite side = sqrt(11)

To the nearest mile, the distance between Tony and Jim is 9 miles.

If the determinant of the matrix formed by the coordinates of the three points is zero, then they are collinear

Given data ,

To show that three points lie on the same line using coordinate geometry, we need to check if they satisfy the equation of a line.

Let the coordinates of the three points be (x1, y1), (x2, y2), and (x3, y3).

To check if these three points are collinear, we can calculate the slope of the line passing through the first two points using the formula

m = (y2 - y1) / (x2 - x1)

Then, we can check if the slope of the line passing through the second and third points is equal to the slope we calculated above. If they are equal, then all three points lie on the same line

m' = (y3 - y2) / (x3 - x2)

If m = m', then the three points are collinear

Alternatively, we can use the determinant method to check if the three points lie on the same line. If the determinant of the matrix formed by the coordinates of the three points is zero, then they are collinear

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Answer: D

Step-by-step explanation:

To determine which month had a higher z-score for sales on the 15th, we need to calculate the z-scores for each month's sales.

For July:

z-score = (x - μ) / σ

where x is the sales on the 15th, μ is the mean daily sales for July, and σ is the standard deviation of daily sales for July.

Plugging in the values, we get:

z-score for July = (315 - 270) / 30 = 1.5

For August:

z-score = (x - μ) / σ

where x is the sales on the 15th, μ is the mean daily sales for August, and σ is the standard deviation of daily sales for August.

Plugging in the values, we get:

z-score for August = (300 - 250) / 25 = 2

Since the z-score for August is higher than the z-score for July, August had a higher z-score for sales on the 15th.

The value of the z-score for August's sales on the 15th was 2.

The graph that represents the function f(x) = -2sin(x) +37 is graph D

The graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.

In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).

In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D

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The given expression ((−3⁴)⁻⁷)⁻³ using only positive exponents is equal to  (-3)⁻⁸⁴.

To write the expression ((−3⁴)⁻⁷)⁻³ using only positive exponents, we can apply the rule of exponentiation that states that a negative exponent can be converted to a positive exponent by moving the base to the denominator and changing the sign of the exponent.

In this case, we have a negative exponent raised to another negative exponent, so we need to apply this rule twice.

First, we can rewrite the expression as:

((-3⁴)⁻⁷)⁻³ = (-3⁴)⁷³

Next, we can apply the rule of negative exponent to obtain:

(-3⁴)⁷³ = (1/(-3⁴))⁻²¹

Finally, we can simplify the expression by moving the negative exponent to the numerator, changing the sign of the exponent and using the power rule of exponents to get:

(1/(-3⁴))⁻²¹ = (-3⁻⁴)²¹ = (-3)⁻⁸⁴

In conclusion, we can convert a negative exponent to a positive exponent by moving the base to the denominator and changing the sign of the exponent. We can use this rule multiple times to simplify expressions with negative exponents.

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(7.5, -9) is the final value after reflection and dilation.

To reflect a vector across the line y=x, we switch the x and y coordinates. Therefore, the reflection of (6,-5) across the line y=x is (-5,6).

To dilate a vector by a scale of -1.5, we multiply the vector by -1.5. Therefore, the resulting vector is (-5,6) multiplied by -1.5, which gives us:

(-5,6) * (-1.5) = (7.5, -9)

So the final result after the reflection and dilation is (7.5, -9).

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Answer:

There are a total of 900 three-digit positive integers, from 100 to 999.

Answer:2/3 or approximately 0.667.

Step-by-step explanation:

total number of outcomes =6

We can obtain a sum of 6: rolling a 1 and a 5, or rolling a 2 and a 4.

Therefore, the number of outcomes that do not result in a sum of 6 is:

6 - 2 = 4

So the probability of getting a sum that is not 6 is:

P(sum is not 6) = number of outcomes that do not result in a sum of 6 / total number of possible outcomes

P(sum is not 6) = 4 / 6

P(sum is not 6) = 2 / 3

The sum of the geometric series is 306. We can start by finding the first term and the common ratio of the geometric series.

The first term is 54, and to find the common ratio we divide any term by its previous term:

36 / 54 = 2/3

(2/3) * 54 = 36

128/27 / 36 = 4/3

So the common ratio is 2/3.

S = a * (1 - r^n) / (1 - r)

where S the sum of a geometric series with first term a,  common ratio r, and n terms is no. of terms.

We are given that there are seven terms in the sum, so n = 7.

Using the values we have:

S = 54 * (1 - (2/3)^7) / (1 - 2/3)

S = 54 * (1 - 128/2187) / (1/3)

S = 54 * (2059/2187) * 3

S = 306

Therefore, the sum of the geometric series is 306

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Answer:

Find the angle bisectors and draw them.

The point where they meet is the center of the circle.

Make a circle which goes through the point where the angle bisector and sides meet.

Step-by-step explanation:

The requried inverse function is [tex]f^{-1}(y) = (y + 3)/2[/tex].

To find the inverse of y = 2x - 3, we need to solve for x in terms of y.

Starting with y = 2x - 3:

Add 3 to both sides: y + 3 = 2x

Divide both sides by 2: (y + 3)/2 = x

Therefore, the inverse of y = 2x - 3 is:

x = (y + 3)/2

We can also express this as:

[tex]f^{-1}(y) = (y + 3)/2[/tex]

Thus, the inverse function is [tex]f^{-1}(y) = (y + 3)/2[/tex]

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Answer:

c. Cournot oligopoly (20 firms):

The optimal per unit price for a Cournot oligopoly with 20 firms is $485.10.

Step-by-step explanation:

Answer:

The length is 35 meters (m).

Step-by-step explanation:

182/2

91 = area of 1/5 of the field.

91 * 3

273 = area of cabbages.

182 + 273

455 = area of whole field.

a/w = l, because l * w = a

455/13

35

Answer:

12 packages of water

5 packages of cheese sticks

Step-by-step explanation:

The LCM (least common multiple) of 5 and 12 is 60.

w = # of pkgs of water

c = # of pkgs of cheese sticks

5w = 12c = 60

w = 60/5 = 12

c = 60/12 = 5

Answer:

225 is the answer

15 times 15

Step-by-step explanation:

The graph of the line passing through the points (-1, 0) and (-5, 0) is attached.

Given are two points we need to find the equation of line passing through them,

We know that the equation of a line passing through two points, (x₁, y₁) and (x₂, y₂) is,

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (-1, 0) and (-5, 0).

So,

y-0 = 0-0 / -5+1 (x+1)

y = 0

Hence, the equation of the line is y = 0.

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Kathy worked 9.14 hours for Job A and 18.86 hours for job B to make 186.10

Assuming hours of work for job A is x while that of job B is y

According to the given information, Kathy works a total of 28 hours per week

x + y = 28

Job A pays $6.10 per hour, and Job B pays $6.80 per hour, to make $184.10, we have the equation below

6.10x + 6.80y = 184

x + y = 28

6.10x + 6.80y = 184

solving simultaneously using calculator

x = job A = 9.143 = 9.14 (to 2 decimal places)

y = job B = 18.857 = 18.86 to 2 decimal places))

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